Charged Randall-Sundrum black holes and N=4 super Yang-Mills in AdS(2)xS(2)

Abstract

We obtain some exact results for black holes in the Randall-Sundrum model with a single brane. We consider an extreme black hole charged with respect to a Maxwell field on the brane. The near-horizon geometry is determined. The induced metric on the brane and the black hole entropy are compared with the predictions of 4d General Relativity. There is good agreement for large black holes, with calculable subleading corrections. As a separate application, the bulk solution provides a gravitational dual for (strongly coupled, large N) N=4 SYM in AdS(2)xS(2) for arbitrary relative size of AdS(2) and S(2).

arXiv comment13 pages

References in corpus (21)

• An Alternative to Compactification
• The Large N Limit of Superconformal Field Theories and Supergravity
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Gravity in the Randall-Sundrum Brane World
• Brane-World Black Holes
• AdS/CFT and gravity
• Near-horizon symmetries of extremal black holes
• Linearized Gravity in Brane Backgrounds
• Exact Description of Black Holes on Branes
• Universality of Quantum Entropy for Extreme Black Holes
• Quantum Black Holes as Holograms in AdS Braneworlds
• Exact Description of Black Holes on Branes II: Comparison with BTZ Black Holes and Black Strings
• Classical black hole evaporation in Randall-Sundrum infinite braneworld
• Small localized black holes in a braneworld: Formulation and numerical method
• On non-existence of static vacuum black holes with degenerate components of the event horizon
• Braneworld black holes
• On the existence and dynamics of braneworld black holes
• Gravity Dual of Gauge Theory on S^2 x S^1 x R
• On the existence of a static black hole on a brane
• Brane-world Kaluza-Klein reductions and Branes on the Brane
• Planckian $Ad{S}_2\times S_2$ space is an exact solution of the semiclassical Einstein equations

Cited by in corpus (8)

• Classification of near-horizon geometries of extremal black holes
• Hawking radiation in large N strongly-coupled field theories
• Algebraically special axisymmetric solutions of the higher-dimensional vacuum Einstein equation
• Electric charge on the brane?
• Rotating black holes in Randall-Sundrum II braneworlds
• Charged Randall-Sundrum black holes in Higher Dimensions
• Extreme charged black holes in braneworld with cosmological constant
• Null infinity and extremal horizons in AdS-CFT